{
  "abstract": "Despite their important role in industrial applications and everyday life, and decades of research, disordered solids still lack a full theoretical understanding. In this perspective, we propose that the Euclidean random matrix model can serve as a paradigm for a low-temperature glass. It combines disorder, viz. random particle positions, with the harmonic approximation of the potential energy valid for any stable solid as temperature vanishes. It brings random-matrix concepts to bear on a fundamental understanding of the vibrational anomalies of glasses. We discuss recent studies that demonstrated non-affine displacements renormalizing the Born elastic constants, damping of sound waves via correlated scattering processes from the intrinsic disorder, excess low-frequency modes linked to the widely-observed boson peak, and elastic instabilities.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 4,
  "authors": [
    {
      "name": "Florian Vogel"
    },
    {
      "name": "Philipp Baumgärtel"
    },
    {
      "name": "Grzegorz Szamel"
    },
    {
      "name": "Matthias Fuchs"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0fw6y6ey2awq8.bib",
  "cited_by": 1,
  "doi": "10.1038/s42005-026-02730-4",
  "fulltext_url": null,
  "id": "0fw6y6ey2awq8",
  "issns": [
    "2399-3650",
    "2399-3650"
  ],
  "landing_url": "https://hal.science/hal-05754322v1",
  "language": "en",
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.phys"
    ],
    [
      "openalex",
      "2505|Material Dynamics and Properties"
    ]
  ],
  "openalex": "W7167368905",
  "pdf_url": "https://hal.science/hal-05754322/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-07-04",
  "publisher": "Nature Research",
  "ris": "https://research.draconitic.com/paper/0fw6y6ey2awq8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:36Z",
      "native_id": "hal-05754322",
      "source": "hal",
      "url": "https://hal.science/hal-05754322v1"
    }
  ],
  "subjects": [
    {
      "field": "chemistry",
      "origin": "openalex:2505|Material Dynamics and Properties",
      "subfield": "materials-polymers"
    }
  ],
  "title": "On the Euclidean random matrix model of vibrations in glass",
  "title_text": "On the Euclidean random matrix model of vibrations in glass",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:36Z",
  "url": "https://research.draconitic.com/paper/0fw6y6ey2awq8",
  "venue": "Communications Physics",
  "versions": []
}